Bremsstrahlung photon polarization for $ee^\pm\to (e\gamma)e^\pm$, and $ep\to (e\gamma)p$ high energy collisions

TL;DR

This paper calculates the polarization states of bremsstrahlung photons in high-energy electron and proton collisions, providing detailed formulas and numerical results for various kinematic conditions.

Contribution

It introduces a comprehensive calculation of photon polarization in specific high-energy collision processes, including explicit formulas and numerical data for different kinematic variables.

Findings

Photon polarization depends on initial electron polarization state.

Linear and circular polarization of photons are achieved based on initial electron polarization.

Numerical tables illustrate polarization characteristics across kinematic ranges.

Abstract

The polarization of bremsstrahlung photon in the processes $ee^\pm\to (e\gamma)e^\pm$, and $ep\to (e\gamma)p$ is calculated for peripheral kinematics, in the high energy limit where the cross section does not decrease with the incident energy. When the initial electron is unpolarized(longitudinally polarized) the final photon can be linearly (circularly) polarized. The Stokes parameters of the photon polarization are calculated as a function of the kinematical variables of process: the energy of recoil particle, the energy fraction of scattered electron, and the polar and azimuthal angles of photon. Numerical results are given in form of tables, for typical values of the relevant kinematic variables.